Search a number
-
+
2244774 = 237192997
BaseRepresentation
bin1000100100000010100110
311020001020210
420210002212
51033313044
6120040250
725036350
oct10440246
94201223
102244774
1112a3594
12903086
1360798c
144260d0
152e51b9
hex2240a6

2244774 has 64 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 580608.

The previous prime is 2244769. The next prime is 2244779. The reversal of 2244774 is 4774422.

It is an interprime number because it is at equal distance from previous prime (2244769) and next prime (2244779).

It is a super-2 number, since 2×22447742 = 10078020622152, which contains 22 as substring.

It is a d-powerful number, because it can be written as 217 + 221 + 4 + 43 + 72 + 72 + 47 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23094 + ... + 23190.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

22244774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2244774 is an abundant number, since it is smaller than the sum of its proper divisors (3400026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2244774 is a wasteful number, since it uses less digits than its factorization.

2244774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157.

The product of its digits is 12544, while the sum is 30.

The square root of 2244774 is about 1498.2569873022. The cubic root of 2244774 is about 130.9355392514.

The spelling of 2244774 in words is "two million, two hundred forty-four thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 97 114 133 174 194 203 266 291 399 406 551 582 609 679 798 1102 1218 1358 1653 1843 2037 2813 3306 3686 3857 4074 5529 5626 7714 8439 11058 11571 12901 16878 19691 23142 25802 38703 39382 53447 59073 77406 106894 118146 160341 320682 374129 748258 1122387 2244774